What is the Least Common Multiple of 75540 and 75545?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 75540 and 75545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75540 and 75545, than apply into the LCM equation.

GCF(75540,75545) = 5
LCM(75540,75545) = ( 75540 × 75545) / 5
LCM(75540,75545) = 5706669300 / 5
LCM(75540,75545) = 1141333860

Least Common Multiple (LCM) of 75540 and 75545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75540 and 75545. First we will calculate the prime factors of 75540 and 75545.

Prime Factorization of 75540

Prime Factorization of 75545

Now multiplying the highest exponent prime factors to calculate the LCM of 75540 and 75545.

LCM(75540,75545) = 2² × 3¹ × 5¹ × 1259¹ × 29¹ × 521¹
LCM(75540,75545) = 1141333860